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Finding the Third Proportional to 165,403.27 and 358,808.48

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Solution

The third proportional to 165,403.27 and 358,808.48 is: 778,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,403.27 : 358,808.48 = 358,808.48 : x
  2. Step 2: Convert to fraction form
    165,403.27/358,808.48 = 358,808.48/x
  3. Step 3: Cross multiply
    165,403.27x = 358,808.48 × 358,808.48
  4. Step 4: Simplify right side
    165,403.27x = 128,743,528,459.49
  5. Step 5: Solve for x
    x = 128,743,528,459.49/165,403.27
  6. Step 6: Final answer
    x = 778,361.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.